Development of a Pirie-Kieren Based Quadratic Equation Module Integrated with Game-Based Learning
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Abstract
Mathematics learning requires instructional materials that not only present concepts systematically but also facilitate students' conceptual understanding. One approach that can be employed is the Pirie–Kieren Theory, which explains the progressive development of mathematical understanding and can be integrated with game-based learning media to enhance student engagement. This study aimed to develop a teaching module on quadratic equations based on the Pirie–Kieren Theory integrated with the Bamboozle mathematics game. The study employed a Research and Development (R&D) method using the ADDIE model, consisting of the Analysis, Design, Development, Implementation, and Evaluation phases. The developed module was validated by experts and subsequently implemented with tenth-grade students at SMAN 3 Sampang. The research instruments included expert validation sheets, student response questionnaires, and a conceptual understanding test. The findings indicate that the developed teaching module is valid, practical, and effective, making it suitable for facilitating the improvement of students' conceptual understanding of quadratic equations.
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References
H. Lanya, Susiswo, Hidayanto, and Rahardjo, “Fostering students' potential understanding in mathematics learning: Use of teacher question in small-group discussion,” Edelweiss Applied Sciences and Technology, vol. 8, no. 6, 2024, doi: 10.55214/25768484.v8i6.2493.
[2] D. A. Susilo, R. Marsitin, and K. B. Pranata, “Penerapan Pembelajaran Media Pohon Matematika Untuk Melatih Berpikir Kreatif Siswa IPA SMA,” Pi: Mathematics Education Journal, vol. 6, no. 2, pp. 98–107, 2023, doi: 10.21067/pmej.v6i2.8418.
[3] Sutrisno and S. Lestari, “Analisis kesulitan belajar peserta didik pada materi persamaan kuadrat kelas X SMA,” Jurnal Ilmiah Matematika Realistik, vol. 3, no. 1, pp. 42–51, 2022, doi: 10.33365/ji-mr.v3i1.1576.
[4] A. T. Bapa and A. Qohar, “Pengembangan media pembelajaran Block Quadrate pada materi persamaan kuadrat di SMP kelas IX,” FIBONACCI: Jurnal Pendidikan Matematika dan Matematika, vol. 10, no. 1, pp. 105–120, 2024, doi: 10.24853/fbc.10.1.105-120.
[5] L. W. Irmayanti, “Peningkatan aktivitas dan hasil belajar matematika materi persamaan kuadrat menggunakan model pembelajaran kooperatif tipe Jigsaw pada siswa kelas IX H SMP Negeri 1 Margasari semester ganjil tahun pelajaran 2019/2020,” Imajiner: Jurnal Matematika dan Pendidikan Matematika, vol. 3, no. 5, pp. 439–448, 2021, doi: 10.26877/imajiner.v3i5.8328.
[6] G. A. Sidik and R. Sudiana, “Analisis kemampuan pemahaman matematis siswa SMP kelas VIII berdasarkan teori Pirie-Kieren,” Jurnal Cendekia: Jurnal Pendidikan Matematika, vol. 7, no. 3, pp. 2405–2419, 2023.
[7] M. Rohmah, “Analisis pemahaman matematis siswa dalam menyelesaikan soal HOTS berdasarkan teori Pirie-Kieren,” Jurnal Penelitian Pendidikan Matematika dan Sains, vol. 6, no. 1, pp. 1–12, 2022, doi: 10.26740/jppms.v6n1.p1-12.
[8] I. R. Rahayu and D. Rukmana, “The effect of game-based learning model assisted by Baamboozle on the multiplication operation skills of elementary school students,” Primary: Jurnal Pendidikan Guru Sekolah Dasar, vol. 11, no. 4, pp. 1265–1274, 2022, doi: 10.33578/jpfkip.v11i4.9000.
[9] H. Lanya, M. Zayyadi, A. W. Syahroni, A. R. Rifanda, and S. P. D. Agustin, “Penerapan model pembelajaran Osborn berbasis teknologi untuk meningkatkan minat belajar siswa pesantren di Kabupaten Pamekasan,” in Prosiding Seminar Nasional Abdimas Ma Chung, 2022, pp. 25–34.
[10] S. Rexhepi and E. Makasevska, “Application of Pirie-Kieren model in the analysis of mathematical understanding: A systematic review,” International Electronic Journal of Mathematics Education, vol. 19, no. 1, em0768, 2024, doi: 10.29333/iejme/14106.
[11] J. Irvine, “The Pirie-Kieren dynamic model of the growth of mathematical understanding: The critical concept of folding back,” Journal of Instructional Pedagogies, vol. 29, 2023.
[12] Z. Zamsiswaya, S. Syawaluddin, and S. Syahrizul, “Pengembangan model ADDIE (Analysis, Design, Development, Implementation, Evaluation),” Jurnal Pendidikan Tambusai, vol. 8, no. 3, pp. 46363–46369, 2024.
[13] Y. Fitri and D. Tarsan, “Validitas lembar kerja peserta didik dengan menggunakan pendekatan problem based learning di sekolah menengah pertama,” THEOREMS, vol. 6, no. 1, pp. 59–74, 2021.
[14] M. Marthalena, E. Susanti, and Hapizah, “Pengembangan LKPD berbasis model eliciting activities materi statistika untuk peserta didik kelas VIII SMP,” Jurnal Pendidikan Matematika, vol. 15, no. 2, pp. 113–128, 2021, doi: 10.22342/jpm.15.2.13701.113-128.
[15] A. Rahma, “Efektivitas model pembelajaran discovery learning terhadap hasil belajar matematika ditinjau dari N-Gain score,” Jurnal Cendekia: Jurnal Pendidikan Matematika, vol. 5, no. 3, pp. 2927–2940, 2021, doi: 10.31004/cendekia.v5i3.832.
[16] M. Chairani, A. N. Harahap, and Nurdalilah, “Pengaruh gamifikasi pembelajaran matematika terhadap hasil belajar peserta didik kelas VII SMP Negeri 5 Padangsidimpuan,” Jurnal Cermatika, vol. 5, no. 1, pp. 17–27, 2025, doi: 10.64168/cermatika.v5i1.1586.
[17] Susiswo, P. Parameswari, O. R. U. Putri, H. Lanya, A. D. Utami, and T. R. Murniasih, “The growth of students' function limit concepts understanding in solving controversial problems based on Pirie Kieren's theory,” JTAM (Jurnal Teori dan Aplikasi Matematika), vol. 7, no. 4, pp. 1204–1220, 2023.
[18] Lanya, H., Ningsih, W. H., Sulfiah, S. K., & Reztia, D. Students’ Mathematical Understanding in Solving Systems of Linear Equations in Two Variables : A Pirie – Kieren Analysis. 9(August), 205–224. https://journalfkipunipa.org/index.php/jhm/article/view/1075, 2026.